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morpeh [17]
3 years ago
13

Marie mixes 20 liters of 12% acid solution with a 36% acid solution to make a 20% acid solution. How many liters of 36% solution

did she use?
Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0
She used 10 liters of the 36% solution.
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: A personal computer manufacturer buys 36% of its chips from Japan and the rest from the United St...
meriva

Answer: 0.9862

Step-by-step explanation:

Given : The probability that the chips belongs to Japan: P(J)= 0.36

The probability that the chips belongs to United States : P(U)= 1-0.36=0.64

The proportion of Japanese chips are defective : P(D|J)=0.017

The proportion of American chips are defective : P(D|U)=0.012

Using law of total probability , we have

P(D)=P(D|J)\times P(J)+P(D|U)\times P(U)\\\\\Rightarrow\ P(D)=0.017\times0.36+0.012\times0.64=0.0138

Thus , the probability that chip is defective = 0.0138

Then , the probability that a chip is defect-free=1-0.0138=0.9862

3 0
3 years ago
How much it will take for a bag to travel 5 meters across the floor of it is traveling at 1 m/s
tester [92]
Time = \frac{distance}{speed}

The distance the bag will travel is 5 meters, and the speed it is traveling at is 1 m/s. Plug these into the formula for time.

\frac{5 m}{1 m/s} = 5 s
5/1 = 5 and the m (meters) cancel out, so you are left with s, seconds.

It will take the bag 5 seconds to travel across the floor.
5 0
3 years ago
Find an equation for the line that passes through the point (-4, 10) and (16, -2)
Crank

Answer:

y = 3/5x + 62/5

Step-by-step explanation:

Equation of a line with two points is

m = y - y_1 / x - x _1

m = y_2 - y_1 / x_2 - x _1

Equating both

y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1

Using what we are provided with

(-4 , 10)(16 , -2)

x_1 = -4

y_1 = 40

x_2 = 16

y_2 = -2

Imputing the values

10 - (-2) / 16 - (-4) = y - 10 / x - (-4)

10 + 2 /16 + 4 = y - 10 / x + 4

12 / 20 = y - 10 / x + 4

Lets cross multiply

12 ( x + 4) = 20(y - 10)

Open the brackets

12x + 48 = 20y - 200

12x + 48 + 200 = 20y

12x + 248 = 20y

Following this equation of line

y = mx + C

20y = 12x + 248

Let's divide through by 20 to get y.

20y / 20 = 12x + 248 / 20

y = 12x + 248 / 20

We can separate it by

y = 12x / 20 + 248 / 20

y = 3/5x + 62/5

Therefore, the equation of the line is

y = 3/5x + 62/5

3 0
3 years ago
The ratio of men to women working for a company is 3 to 5 . if there are 140 women working for the company, what is the total nu
Naddika [18.5K]

Ratio of men : women = 3 : 5

-

<u>Find total parts:</u>

3 + 5 = 8

-

<u>Find 1 part:</u>

5 parts = 140

1 part = 140 ÷ 5 = 28

-

<u>Find 8 parts (total):</u>

8 parts = 28 x 8 = 224

-

Answer: There are 224 employees

4 0
3 years ago
How much would it be $55 for every 15 shirts?
notsponge [240]

Answer:

<h3>$825 it would be that</h3>

Step-by-step explanation:

<h3>it would be that all you have to do is multiple 55×15=825</h3><h3>5×5</h3><h3>55 \times 15 = 825</h3>

8 0
3 years ago
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